Write the x and y coordinates for points A, B, C, D, E,F,G,H

The total cost to build a 3-on-3 court, using area and perimeter formula is obtained as $528.

What is perimeter?

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.

As the court area is 165 square meters, we need to calculate the perimeter to determine the amount of asphalt needed for the court.

Assuming the court is rectangular, we can use the formula -

Perimeter = 2 × (length + width)

To find the length and width, we need to know the aspect ratio of the court.

According to FIBA regulations, a 3-on-3 court should have an aspect ratio of 1:1.5, meaning the length should be 1.5 times the width.

Let's assume the width of the court is x meters.

Then, the length of the court would be 1.5x meters.

The area of the court is given by -

Area = length × width

165 = 1.5x × x

165 = 1.5x²

x² = 165 / 1.5

x² = 110

x = √110

x ≈ 10.49

Therefore, the width of the court is approximately 10.49 meters, and the length is 1.5 times that, or approximately 15.73 meters.

The perimeter of the court is -

Perimeter = 2 × (length + width)

Perimeter = 2 × (15.73 + 10.49)

Perimeter = 52.42 meters

Now, we need to convert the perimeter to the amount of asphalt needed. According to industry standards, one ton of asphalt covers 9.29 square meters at a thickness of 5 cm.

The thickness of the asphalt will depend on the existing ground conditions, but assuming we need a thickness of 5 cm, the amount of asphalt needed is -

Asphalt needed = (Perimeter × Thickness) / 9.29

Asphalt needed = (52.42 × 0.05) / 9.29

Asphalt needed = 0.28 tons

Therefore, the amount of asphalt is 0.28 tons.

If the cost of asphalt is $100 per ton, then the cost of the required amount of asphalt would be -

Cost of asphalt = Asphalt needed × Cost per ton

Cost of asphalt = 0.28 × $100

Cost of asphalt = $28

We also need to factor in the cost of hoops and paint.

As per the problem statement, the quantity of hoops and paint required is the same as that for a 5-on-5 court.

Assuming the cost of hoops and paint for a 5-on-5 court is $500, the total cost of building the 3-on-3 court would be -

Total cost = Cost of asphalt + Cost of hoops and paint

Total cost = $28 + $500

Total cost = $528

Therefore, the total cost to build a 3-on-3 court with an area of 165 square meters, assuming the cost of asphalt is $100 per ton and the cost of hoops and paint is $500, is $528.

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What is the cost to build a 3-on-3 court with an area of 165 square metres? The hoops and the paint will still be needed in the same quantities as the 5-on-5 court. However, the quantity of asphalt will be less. Complete your calculations and circle the final answer.​ The cost of asphalt is $100 per ton.

The remaining angles and sides of the triangle ABC are as follows:Side BC = 7.25 mAngle C = 47°Angle B = 86°. The remaining angles and sides of the triangle ABC are as follows:Side BC = 7.25 m Angle C = 47°Angle B = 86°

The given triangle ABC is shown below:The sum of the angles of a triangle is 180°. Therefore, the measure of angle A is:Angle A = 180 - (47 + 47)°= 86°Now, we can apply the Law of Sines to find the remaining sides of the triangle:BC/sin(B) = AC/sin(A)

We have the values of BC, B and A. Plugging in these values, we get:7.25/sin(B) = 4/sin(86)sin(B) = (7.25 sin(86))/4sin(B) = 1.1058B = sin⁻¹(1.1058)Since sine is a ratio of two sides, the sine of any angle is always between 0 and 1. Hence, the value of sin⁻¹(1.1058) does not exist.In other words, the given triangle is impossible to construct or does not exist. Therefore, the given question is incorrect as it is based on an invalid triangle.

The remaining angles and sides of the triangle ABC are as follows:Side BC = 7.25 mAngle C = 47°Angle B = 86°.

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Step-by-step explanation:

just look at the graph ! what answer options can be possible, when you look at the first and the last point ?

the position km are 40 and 15.

the first answer option is the right one.

2. alternate angles I think

3. vertically opposite angles

4. Interior angles

For a taxable income of $1,80,900, the effective tax rate is 21.11%.

Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.

Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.

To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.

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Answer:

7 in

Step-by-step explanation:

Answer:

a = 7 in

Step-by-step explanation:

\(Area = \frac{a+b}{2} \times h\\\\26.25 = \frac{a + 10.5}{2} \times 3\\\\26.25 \times 2 = (a+ 10.5) \times 3\\\\52.5 = (A + 10.5) \times 3\\\\\frac{52.5}{3} = a + 10.5\\\\17.5 = a + 10.5\\\\a = 17.5 - 10.5 = 7\)

Answer:

A confidence interval is made from a sample to estimate the truth for a population.

A confidence interval is a statistical interval that is found from analyzing sample data to justify a larger statement about a great group of people or things. Common confidence intervals are 95% and 99%.

Answer:

5

Step-by-step explanation:

When the angles are vertical you set up your equation to 180

3x-35+130=180 and solve

Answer:

Simply y= Mx + c

M = -5/4

x = -8

y = 1

1 = 10 + c

c = -9

Step-by-step explanation:

A set of values for the decision variables that satisfy all the constraints and yields the best objective function value is a feasible solution that optimizes the objective function.

In optimization problems, decision variables are the quantities that we can control or adjust to achieve a desired outcome. Constraints are the limitations or conditions that these decision variables must satisfy. The objective function represents the goal or objective we want to optimize.

A feasible solution refers to a set of values for the decision variables that satisfy all the given constraints. This means that the solution meets all the specified requirements and does not violate any constraints. However, there can be multiple feasible solutions that meet the constraints.

Among these feasible solutions, the one that yields the best objective function value is the optimal solution. The objective function value is a measure of how well the solution aligns with the desired objective. The goal is typically to maximize or minimize this objective function value, depending on the problem.

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Answer:

x=40

Step-by-step explanation:

Reflections have to be equal to each other.

Therefore, the equation is going to be 3x-6=114. This is equal to 3x=114+6. This is equal to 3x=120. x=120/3. x=40. Therefore, x=40.

If this helps please mark as brainliest

Answer:

X=40   pls mark brainlist it would really help

Step-by-step explanation:

3x-6 must equal 114. So...

3x-6=114

+6      +6

3x=120

/3     /3

x=40

Answer: The first answer choice

AKA: y = -1.74x + 46.6

Step-by-step explanation:

Using the z-distribution, it is found that the 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).

We are given the standard deviation for the population, hence, the z-distribution is used. The parameters for the interval is:

Sample mean of  \(x = 12.7\)

Population standard deviation of  \(\sigma = 6.37\)

Sample size of .n = 50

The margin of error is:

\(M = z \frac{\sigma }{\sqrt{n} }\)

In which z is the critical value.

We have to find the critical value, which is z with a p-value of  \(\frac{1+\alpha }{2}\) , in which  \(\alpha\) is the confidence level.

In this problem, , thus, z with a p-value of , which means that it is z = 1.96.

Then:

\(M= 1.96\frac{6.37}{\sqrt{50} } = 1.77\)

The confidence interval is the sample mean plus/minutes the margin of error, hence:

x- M = 12.17 - 1.77 =10.4

x+M = 12.17 + 1.77 = 13.94

The 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).

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Answer:

3t + 5.25b ≥ 340

Step-by-step explanation:

To determine the distance between the buildings, we can use trigonometry and the given information. Let's consider the triangle formed by Sari, building A, and building B. The side opposite the 40° angle is the distance between the buildings that we want to find.

Using the tangent function, we can set up the following equation: tan(40°) = opposite/adjacent. tan(40°) = distance between the buildings/20 meters. To find the distance between the buildings, we rearrange the equation: distance between the buildings = 20 meters * tan(40°). Using a calculator, we can evaluate the expression: distance between the buildings ≈ 20 meters * 0.8391 ≈ 16.782 meters. Therefore, the buildings are approximately 16.782 meters apart. To determine the distance between the buildings, we can use trigonometry and the given information. Let's consider the triangle formed by Sari, building A, and building B. The side opposite the 40° angle is the distance between the buildings that we want to find.

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Answer: 28282

Step-by-step explanation:

I think

Step-by-step explanation:

hope it will help you.....

The correct option from the given options is (a) a lower bound on how many donuts he can eat in one sitting.

A lower bound is a value which is equal to or greater than the minimum value of a set. In this given scenario, eight donuts are a lower bound on how many donuts a teenager can eat in one sitting. He might be able to eat more than eight donuts in one sitting but he cannot eat less than eight donuts in one sitting because it's a lower limit.

A lower limit or a lower bound is an absolute minimum. It is the minimum number of donuts that the teenager can consume in one sitting. In this scenario, there is a possibility that the teenager might eat more than eight donuts, but the lower limit is eight.

Therefore, the correct option is (a) a lower bound on how many donuts he can eat in one sitting.

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Is there missing parts to this question?

Answer: what do you mean

Step-by-step explanation:

The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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Seniors at Boston College and students in a first-semester business statistics course represent a population and a sample, respectively(C).

A population refers to the entire group of individuals or items that we are interested in studying, while a sample is a subset of the population that is selected for analysis.

In option c, the seniors at Boston College represent a population as they are the entire group of interest. On the other hand, the students in a first-semester business statistics course represent a sample because they are a subset of the population (seniors at Boston College) and are selected for analysis. So c is correct option.

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Answer:

The parent graph has been horizontally shifted '2' units to the left, and vertically shifted 5 units down.

Hence, option (a) is true.

Step-by-step explanation:

Horizontal traslation of f(x) is of the form

\(f(x-h)\)

It means if the constant 'h' is negative, it means the the parent graph is shifted 'h' units to the left.

Vertical traslation of f(x) is of the form

\(f(x)+k\)

It means if the constant 'k' is subtracted from the output, the parent graph  vertically shifted 'k' units down.

Given

y = |x|

So, after y =  |x+2| -5, we conclude that the parent graph has been horizontally shifted '2' units to the left, and vertically shifted 5 units down.

Please also check the attached diagram.

Hence, option (a) is true.

If the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, then the sample space would not change.

It would still contain the same six possible outcomes. However, the probability of rolling an odd number would change to 4/7, as the face with the 3 would come up twice as often.

The sample space for this experiment is {1,1,1,2,2,3}, which is all the possible outcomes when the die is rolled. The probability of rolling an odd number is 2/3, as there are two faces with a 1 and one face with a 3.

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Answer:

Domain x ≥ 0 Range y ≤ 0

Step-by-step explanation:

Answer:

\(Domain = \{x\,|\,x\geq 0\}\)

\(Range=\{\,y\,|\,y\leq 0\}\)

Step-by-step explanation:

Notice that the Range of the function (x-values for which the function exists) is limited by the possible values of x inside the square root. For \(\sqrt{x}\) to exist, x must be larger than or equal to zero (\(x\geq 0\))

So this gives us the description for building the Domain (what is called "set builder notation":

\(Domain = \{x\,|\,x\geq 0\}\)

Now for the Range, let's look into all the possible values that these  \(x\geq 0\) values of x can render:

\(x\geq 0\\\sqrt{x} \geq 0\\x\,\sqrt{x} \geq 0\)

but now, if we multiply both sides of the inequality by "-4", the direction of the inequality changes rendering;

\(-4\,x\,\sqrt{x} \leq 0\)

Since these are the possible values of the "y-coordinate", then we right the Range in set builder notation as:

\(Range=\{\,y\,|\,y\leq 0\}\)

Answer:

b. step function

Step-by-step explanation:

Labor cost is functioned as $50 per hour or fraction thereof.

It means the function gets range values of multiples of $50 for full domains as well as fractions of domains round to full number of next greater value resulting in next $50.

Therefore the type of function is step function

Correct choice is

b. Step function

Answer:

the length of cube

is 2 mm

Answer:

2m

Step-by-step explanation:

A cube is a 3-dimensional object with all sides of equal length. So, length = breadth = height

Let the side of cube be x.  

Then Volume of cube = x * x * x

So, length (side) of cube is 2m

Answer:no solution

Step-by-step explanation: